I dont think so. No manager would make such a decision based upon the result of one game (against a managerless side!).Kind of a catch 22.......if Southampton beat us he might not want to come / if we beat them then Levy will think he's not good enough
He would look at the facilities, the squad, the budget, the potential in the club and whether or not he thinks he can do better here (or any suitor) or at his current club.